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The radius of circle is 11 miles. What is the area of a sector bounded by a
300° arc?

The radius of circle is 11 miles. What is the area of a sector bounded by a 300° arc-example-1

2 Answers

3 votes

Answer:

316.62 miles²

Explanation:

Area of circle = 3.14 × r²

3.14 × 11²

= 379.94 (area of whole circle)

We need to find the area of the blue shaded sector.

300/360 × 379.94

= 316.62

User Fieg
by
4.3k points
5 votes

The area of a circle is pi x r^2

Area of full circle: 3.14 x 11^2

Area = 379.94 square miles.

To find the area of the bounded arc, multiply the full area by the fraction of a full circle the arc is:

379.94 x 300/360 = 316.62 square miles

User M Faheem Rajput
by
3.7k points